{ "id": "1306.4012", "version": "v2", "published": "2013-06-17T20:34:37.000Z", "updated": "2014-01-27T16:54:53.000Z", "title": "About $C^{1}$-minimality of the hyperbolic Cantor sets", "authors": [ "Liane Bordignon", "Jorge Iglesias", "Aldo Portela" ], "comment": "Some changes were made in the introduction of the previous version", "categories": [ "math.DS" ], "abstract": "In this work we prove that a $C^{1+\\alpha}$-hyperbolic Cantor set contained in $S^1$, close to an affine Cantor set, is not $C^{1}$-minimal.", "revisions": [ { "version": "v2", "updated": "2014-01-27T16:54:53.000Z" } ], "analyses": { "keywords": [ "minimality", "affine cantor set", "hyperbolic cantor set" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1306.4012B" } } }